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34425664032441 = 31119509107869087
BaseRepresentation
bin1111101001111010110010…
…11110011100111010111001
311111220001122201100202111010
413310331121132130322321
514003012224443014231
6201114533130424133
710152113022104343
oct764753136347271
9144801581322433
1034425664032441
11aa72929964490
123a3bb11292049
131629431837616
148702d50ca293
153ea7557ba546
hex1f4f5979ceb9

34425664032441 has 32 divisors (see below), whose sum is σ = 52812705484800. Its totient is φ = 19727098447680.

The previous prime is 34425664032433. The next prime is 34425664032443. The reversal of 34425664032441 is 14423046652443.

It is not a de Polignac number, because 34425664032441 - 23 = 34425664032433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34425664032443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53615401 + ... + 54253686.

It is an arithmetic number, because the mean of its divisors is an integer number (1650397046400).

Almost surely, 234425664032441 is an apocalyptic number.

It is an amenable number.

34425664032441 is a deficient number, since it is larger than the sum of its proper divisors (18387041452359).

34425664032441 is a wasteful number, since it uses less digits than its factorization.

34425664032441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107869629.

The product of its (nonzero) digits is 6635520, while the sum is 48.

The spelling of 34425664032441 in words is "thirty-four trillion, four hundred twenty-five billion, six hundred sixty-four million, thirty-two thousand, four hundred forty-one".

Divisors: 1 3 11 19 33 57 209 509 627 1527 5599 9671 16797 29013 106381 319143 107869087 323607261 1186559957 2049512653 3559679871 6148537959 22544639183 54905365283 67633917549 164716095849 603959018113 1043201940377 1811877054339 3129605821131 11475221344147 34425664032441